Order of operations - Definition with Examples
A way to remember the order of the operations is PEMDAS, where in each letter stands for a mathematical operation.
P | Parentheses |
E | Exponent |
M | Multiplication |
D | Division |
A | Addition |
S | Subtraction |
Expression solved from Left to Right | Expression solved using Order of Operations (PEMDAS) |
6 x 3 + 4 x ( 9 ÷ 3 ) 6 X 3 + 4 x ( 9 ÷ 3 ) 18 + 4 x ( 9 ÷ 3 ) 22 x ( 9 ÷ 3 ) 198 ÷ 3 = 66 ✘ |
6 x 3 + 4 x ( 9 ÷ 3 ) 6 X 3 + 4 x ( 9 ÷ 3 ) → P 6 X 3 + 4 x 3 → M 18 + 4 x 3 → M 18 + 12 → A = 30 ✔ |
In math, order of operations is the rules of the sequence in which the multiple operations in an expression should be solved.
In math, we follow the order of operations rules to solve expressions so that everyone arrives at the same correct answer.
PEMDAS is a way to remember the order of the operations, where each letter stands for a mathematical operation. P stands for Parentheses, E stands for Exponent, M stands for Multiplication, D stands for Division, A stands for Addition, and S stands for Subtraction. If there are two or more operations in a single expression, the order of the letters in PEMDAS tells what to calculate first, second, third, and so on until the calculation is complete.
2 + 3 x 4 is 14. According to the PEMDAS rule, we multiply before adding. So the first step in solving 2 + 3 x 4 is to multiply 3 by 4, and then add 2 to the product. So, 2 + 3 x 4 = 2 + 12 = 14.